Determine 3876

Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6

Correct answer:

q1 =  9
q2 =  -0.9
a2 =  5.4
b2 =  -54

Step-by-step explanation:

a3=48.6 a1+a2=6 a2 = q a1 a3 = q2 a1 (1+q) a1 = 6  a1 = a3/q2 48.6(1+q)=6q2  6q2+48.6q+48.6=0 6q248.6q48.6=0  a=6;b=48.6;c=48.6 D=b24ac=48.6246(48.6)=3528.36 D>0  q1,2=2ab±D=1248.6±3528.36 q1,2=4.05±4.95 q1=9 q2=0.9 a1=a3/q12=48.6/92=53=0.6 b1=a3/q22=48.6/(0.9)2=60 a2=q1 a1=9 0.6=527=552=5.4 b2=q2 b1=(0.9) 60=54 q1=9

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